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2081914384 = 24112172612
BaseRepresentation
bin111110000010111…
…0111111000010000
312101002111012122011
41330011313320100
513230432230014
6542330352304
7102406660144
oct17405677020
95332435564
102081914384
11979206100
124a128b694
13272427c04
1415a6dd224
15c2b937c4
hex7c177e10

2081914384 has 135 divisors (see below), whose sum is σ = 4788373863. Its totient is φ = 876057600.

The previous prime is 2081914381. The next prime is 2081914451. The reversal of 2081914384 is 4834191802.

The square root of 2081914384 is 45628.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 192099600 + 1889814784 = 13860^2 + 43472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2081914381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34129714 + ... + 34129774.

Almost surely, 22081914384 is an apocalyptic number.

2081914384 is the 45628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081914384

2081914384 is an abundant number, since it is smaller than the sum of its proper divisors (2706459479).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2081914384 is a wasteful number, since it uses less digits than its factorization.

2081914384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The cubic root of 2081914384 is about 1276.8923603317.

The spelling of 2081914384 in words is "two billion, eighty-one million, nine hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 61 68 88 121 122 136 176 187 242 244 272 289 374 484 488 578 671 748 968 976 1037 1156 1342 1496 1936 2057 2074 2312 2684 2992 3179 3721 4114 4148 4624 5368 6358 7381 7442 8228 8296 10736 11407 12716 14762 14884 16456 16592 17629 22814 25432 29524 29768 32912 34969 35258 40931 45628 50864 59048 59536 63257 69938 70516 81862 91256 118096 125477 126514 139876 141032 163724 182512 193919 250954 253028 279752 282064 327448 387838 450241 501908 506056 559504 654896 695827 775676 900482 1003816 1012112 1075369 1391654 1551352 1800964 2007632 2133109 2150738 2783308 3102704 3601928 4266218 4301476 5566616 7203856 7654097 8532436 8602952 11133232 11829059 15308194 17064872 17205904 23658118 30616388 34129744 47316236 61232776 94632472 122465552 130119649 189264944 260239298 520478596 1040957192 2081914384